On the instability of lagrange solutions in the three-body problem

We consider the relation between the Lyapunov instability of Lagrange equilateral triangle solutions and their orbital instability. We present a theorem on the orbital instability of Lagrange solutions. This theorem is extended to the planarn-body problem.

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Bibliographic Details
Date:1996
Main Authors: Sosnitskii, S. P., Сосницький, С. П.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5214
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal